Home / 1,155.39-1,733.08-289.70

Finding the Fourth Proportional to 1,155.39, 1,733.08 and 289.70

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Solution

The fourth proportional to 1,155.39, 1,733.08 and 289.70 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.39 : 1,733.08 = 289.70 : x
  2. Step 2: Convert to fraction form
    1,155.39/1,733.08 = 289.70/x
  3. Step 3: Cross multiply
    1,155.39x = 1,733.08 × 289.70
  4. Step 4: Simplify right side
    1,155.39x = 502,073.28
  5. Step 5: Solve for x
    x = 502,073.28/1,155.39
  6. Step 6: Final answer
    x = 434.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.